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arXiv · 1808.07652

Independence of Yoshikawa eighth move and a minimal generating set of band moves

Michal Jablonowski
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Abstract

Yoshikawa moves were introduced at least quarter-century ago and are still actively used by researchers. For any marked graph diagram we will define its twisted diagram and its mirror cut surface. By using a surface-link group of a mirror cut surface of a twisted diagram we will prove the independence of Yoshikawa eighth move. As a consequence we will establish a minimal generating set of band moves for links with bands.

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Michal Jablonowski. 2018-08-23. Independence of Yoshikawa eighth move and a minimal generating set of band moves. https://doi.org/10.4064/fm660-12-2019

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